\documentclass[final,letterpaper,twoside,12pt]{article}
\author{Terry~Sturtevant \thanks{Physics Lab Supervisor}}
\date{\today}
\title{PC132 Lab Project}

\begin{document}
\maketitle

\section{Very Important stuff}
Here is my text, including the \LaTeX\ symbol.

\subsection{Important stuff}
More text here.

\subsection{Important stuff}
More text here.

\section{Very Important stuff}
Here is my text, including the \LaTeX\ symbol.

\subsection{Important stuff}
More text here.

\section{Very Important stuff}
Here is my text, including the \LaTeX\ symbol.

\subsection{Important stuff}
More text here.

\subsubsection{Less Important stuff}
And even more text.
\paragraph{Trivial stuff}
Note that the text starts on the same line as the paragraph heading.

\section{Very Important stuff}
Here is my text, including the \LaTeX\ symbol.

\subsection{Important stuff}
More text here.
\subsubsection{Less Important stuff}
And even more text.
\subsection{Important stuff}
More text here.
\subsubsection{Less Important stuff}
And even more text.
\subsection{Important stuff}
More text here.
\subsubsection{Less Important stuff}
And even more text.
\paragraph{Trivial stuff}
Note that the text starts on the same line as the paragraph heading.
\subparagraph{Mind-numbingly inconsequential stuff}

Even if you skip lines.

Just skipping a line starts a new paragraph. lines

\noindent You can avoid an indent by using the \textbf{{$\mathbf \backslash$}noindent} command.

\section{Very Important stuff}
Here is my text, including the \LaTeX\ symbol.

\end{document}

